{ "cells": [ { "cell_type": "markdown", "id": "e1455249", "metadata": {}, "source": [ "# 3-Layer GCN on the Karate Club Graph (with Train/Test Split)\n", "\n", "This notebook builds and trains a 3-layer Graph Convolutional Network (GCN) on Zachary's Karate Club graph using PyTorch and NetworkX.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "59086f28", "metadata": {}, "outputs": [], "source": [ "# Install dependencies if needed\n", "# !pip install networkx matplotlib scikit-learn torch" ] }, { "cell_type": "markdown", "id": "0872d30d", "metadata": {}, "source": [ "## 1. Imports and Reproducibility" ] }, { "cell_type": "code", "execution_count": 2, "id": "e0a250c9", "metadata": {}, "outputs": [], "source": [ "import random\n", "import numpy as np\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "\n", "import torch\n", "import torch.nn as nn\n", "import torch.nn.functional as F\n", "\n", "from sklearn.preprocessing import LabelEncoder\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.manifold import TSNE\n", "\n", "SEED = 42\n", "torch.manual_seed(SEED)\n", "np.random.seed(SEED)\n", "random.seed(SEED)" ] }, { "cell_type": "markdown", "id": "2c4437c8", "metadata": {}, "source": [ "## 2. Load the Karate Club Graph\n", "We use one-hot node features and club membership as labels." ] }, { "cell_type": "code", "execution_count": 3, "id": "b4702128", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of nodes: 34\n", "Classes: [np.str_('Mr. Hi'), np.str_('Officer')]\n", "Feature matrix shape: torch.Size([34, 34])\n", "Label tensor shape: torch.Size([34])\n" ] } ], "source": [ "G = nx.karate_club_graph()\n", "\n", "num_nodes = G.number_of_nodes()\n", "num_features = num_nodes # one-hot feature per node\n", "\n", "# Node features: identity matrix\n", "X = torch.eye(num_nodes, dtype=torch.float32)\n", "\n", "# Labels: club membership\n", "clubs = [G.nodes[i][\"club\"] for i in range(num_nodes)]\n", "label_encoder = LabelEncoder()\n", "y = torch.tensor(label_encoder.fit_transform(clubs), dtype=torch.long)\n", "\n", "print(\"Number of nodes:\", num_nodes)\n", "print(\"Classes:\", list(label_encoder.classes_))\n", "print(\"Feature matrix shape:\", X.shape)\n", "print(\"Label tensor shape:\", y.shape)" ] }, { "cell_type": "code", "execution_count": 4, "id": "df1f5479-2d07-4315-b426-253b4e4d8322", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([[1., 0., 0., ..., 0., 0., 0.],\n", " [0., 1., 0., ..., 0., 0., 0.],\n", " [0., 0., 1., ..., 0., 0., 0.],\n", " ...,\n", " [0., 0., 0., ..., 1., 0., 0.],\n", " [0., 0., 0., ..., 0., 1., 0.],\n", " [0., 0., 0., ..., 0., 0., 1.]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "code", "execution_count": 5, "id": "8864fa02-e44f-4c1c-baff-74483f8c16da", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Patch, Circle\n", "\n", "G = nx.karate_club_graph()\n", "\n", "# Get node colors based on club membership\n", "color_map = []\n", "for node in G.nodes():\n", " if G.nodes[node]['club'] == 'Mr. Hi':\n", " color_map.append('#3B8BD4')\n", " else:\n", " color_map.append('#D85A30')\n", "\n", "# Compute layout\n", "pos = nx.spring_layout(G, seed=42)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 7))\n", "nx.draw_networkx(\n", " G,\n", " pos=pos,\n", " node_color=color_map,\n", " with_labels=True,\n", " node_size=500,\n", " font_color='white',\n", " font_size=9,\n", " edge_color='gray',\n", " alpha=0.9,\n", " ax=ax\n", ")\n", "\n", "# Circle nodes 0 and 33\n", "for node in [0, 33]:\n", " x, y = pos[node]\n", " circle = Circle(\n", " (x, y),\n", " radius=0.07,\n", " color='gold',\n", " fill=False,\n", " linewidth=2.5,\n", " zorder=5\n", " )\n", " ax.add_patch(circle)\n", "\n", "# Legend\n", "legend_elements = [\n", " Patch(facecolor='#3B8BD4', label=\"Mr. Hi's group\"),\n", " Patch(facecolor='#D85A30', label=\"Officer's group\"),\n", " Patch(edgecolor='gold', facecolor='none', linewidth=2.5, label='Key nodes (0 & 33)'),\n", "]\n", "plt.legend(handles=legend_elements, loc='upper right')\n", "plt.title(\"Zachary's Karate Club Graph\")\n", "plt.axis('off')\n", "plt.tight_layout()\n", "plt.savefig('karate_club.png', dpi=300, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "split_section", "metadata": {}, "source": [ "## 3. Train / Test Split\n", "\n", "Because GCNs are **transductive** (the full adjacency matrix is used at every step),\n", "we split *node indices* rather than creating separate graphs.\n", "All nodes contribute their neighbourhood information during message passing;\n", "only the labelled training nodes drive the loss, and the held-out test nodes\n", "are evaluated but never used to compute gradients.\n", "\n", "We use a stratified 70 / 30 split to keep class proportions balanced." ] }, { "cell_type": "code", "execution_count": 8, "id": "split_code", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train nodes: 23 | Test nodes: 11\n", "Train class distribution: {np.int64(0): np.int64(11), np.int64(1): np.int64(12)}\n", "Test class distribution: {np.int64(0): np.int64(6), np.int64(1): np.int64(5)}\n" ] } ], "source": [ "node_indices = np.arange(num_nodes)\n", "\n", "# Make sure labels is a torch tensor of class ids\n", "labels = torch.tensor(label_encoder.fit_transform(clubs), dtype=torch.long)\n", "\n", "\n", "train_idx, test_idx = train_test_split(\n", " node_indices,\n", " test_size=0.30,\n", " random_state=SEED,\n", " stratify=labels.numpy()\n", ")\n", "\n", "train_idx = torch.tensor(train_idx, dtype=torch.long)\n", "test_idx = torch.tensor(test_idx, dtype=torch.long)\n", "\n", "print(f\"Train nodes: {len(train_idx)} | Test nodes: {len(test_idx)}\")\n", "print(f\"Train class distribution: {dict(zip(*np.unique(labels[train_idx].numpy(), return_counts=True)))}\")\n", "print(f\"Test class distribution: {dict(zip(*np.unique(labels[test_idx].numpy(), return_counts=True)))}\")" ] }, { "cell_type": "markdown", "id": "306305ff", "metadata": {}, "source": [ "## 4. Build the Normalized Adjacency Matrix\n", "We add self-loops and apply symmetric normalization:\n", "\n", "$\\hat{A} = D^{-1/2}(A + I)D^{-1/2}$" ] }, { "cell_type": "code", "execution_count": 9, "id": "ffc37cab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adjacency shape: torch.Size([34, 34])\n" ] } ], "source": [ "A = nx.to_numpy_array(G, dtype=np.float32)\n", "A = A + np.eye(num_nodes, dtype=np.float32) # self-loops\n", "\n", "D = np.diag(np.power(A.sum(axis=1), -0.5))\n", "D[np.isinf(D)] = 0.0\n", "\n", "A_norm = D @ A @ D\n", "A_norm = torch.tensor(A_norm, dtype=torch.float32)\n", "\n", "print(\"Adjacency shape:\", A_norm.shape)" ] }, { "cell_type": "markdown", "id": "0c2e504d", "metadata": {}, "source": [ "## 5. Define the 3-Layer GCN\n", "Each layer performs neighbourhood aggregation followed by a linear transformation. ReLU is applied between the first two layers." ] }, { "cell_type": "code", "execution_count": 10, "id": "02708905", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ThreeLayerGCN(\n", " (gcn1): GCNLayer(\n", " (linear): Linear(in_features=34, out_features=16, bias=True)\n", " )\n", " (gcn2): GCNLayer(\n", " (linear): Linear(in_features=16, out_features=16, bias=True)\n", " )\n", " (gcn3): GCNLayer(\n", " (linear): Linear(in_features=16, out_features=2, bias=True)\n", " )\n", ")" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "class GCNLayer(nn.Module):\n", " def __init__(self, in_dim, out_dim, dropout=0.0):\n", " super().__init__()\n", " self.linear = nn.Linear(in_dim, out_dim)\n", " self.dropout = dropout\n", "\n", " def forward(self, x, adj):\n", " x = F.dropout(x, p=self.dropout, training=self.training)\n", " x = adj @ x\n", " x = self.linear(x)\n", " return x\n", "\n", "\n", "class ThreeLayerGCN(nn.Module):\n", " def __init__(self, in_dim, hidden_dim, out_dim, dropout=0.5):\n", " super().__init__()\n", " self.gcn1 = GCNLayer(in_dim, hidden_dim, dropout)\n", " self.gcn2 = GCNLayer(hidden_dim, hidden_dim, dropout)\n", " self.gcn3 = GCNLayer(hidden_dim, out_dim, dropout)\n", " self.dropout = dropout\n", "\n", " def forward(self, x, adj):\n", " x = F.relu(self.gcn1(x, adj))\n", " x = F.relu(self.gcn2(x, adj))\n", " x = F.dropout(x, p=self.dropout, training=self.training)\n", " x = self.gcn3(x, adj)\n", " return x\n", "\n", "\n", "model = ThreeLayerGCN(\n", " in_dim=num_features,\n", " hidden_dim=16,\n", " out_dim=len(label_encoder.classes_),\n", " dropout=0.5\n", ")\n", "\n", "optimizer = torch.optim.Adam(model.parameters(), lr=0.01, weight_decay=5e-4)\n", "criterion = nn.CrossEntropyLoss()\n", "\n", "model" ] }, { "cell_type": "markdown", "id": "c61ad62b", "metadata": {}, "source": [ "## 6. Train the Model\n", "\n", "**Transductive training protocol:**\n", "- Forward pass uses *all* nodes (so every node aggregates its full neighbourhood).\n", "- The loss is computed **only on `train_idx`** — test labels never touch the gradient.\n", "- Accuracy is reported separately for train and test nodes." ] }, { "cell_type": "code", "execution_count": 12, "id": "449ab2ec", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 001 | Loss 0.7195 | Train Acc 0.5217 | Test Acc 0.4545\n", "Epoch 025 | Loss 0.5390 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 050 | Loss 0.1710 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 075 | Loss 0.0978 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 100 | Loss 0.1041 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 125 | Loss 0.1181 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 150 | Loss 0.0390 | Train Acc 1.0000 | Test Acc 1.0000\n", "Epoch 175 | Loss 0.1190 | Train Acc 1.0000 | Test Acc 1.0000\n", "Epoch 200 | Loss 0.1921 | Train Acc 1.0000 | Test Acc 1.0000\n", "Epoch 225 | Loss 0.0458 | Train Acc 1.0000 | Test Acc 1.0000\n", "Epoch 250 | Loss 0.0472 | Train Acc 1.0000 | Test Acc 0.9091\n", "Epoch 275 | Loss 0.0375 | Train Acc 0.9565 | Test Acc 1.0000\n", "Epoch 300 | Loss 0.0598 | Train Acc 1.0000 | Test Acc 0.9091\n", "\n", "Final Train Accuracy: 1.0000\n", "Final Test Accuracy: 0.9091\n" ] } ], "source": [ "epochs = 300\n", "train_loss_history = []\n", "train_acc_history = []\n", "test_acc_history = []\n", "\n", "for epoch in range(1, epochs + 1):\n", " model.train()\n", " optimizer.zero_grad()\n", "\n", " logits = model(X, A_norm)\n", " loss = criterion(logits[train_idx], labels[train_idx])\n", " loss.backward()\n", " optimizer.step()\n", "\n", " model.eval()\n", " with torch.no_grad():\n", " logits = model(X, A_norm)\n", " pred = logits.argmax(dim=1)\n", "\n", " train_acc = (pred[train_idx] == labels[train_idx]).float().mean().item()\n", " test_acc = (pred[test_idx] == labels[test_idx]).float().mean().item()\n", "\n", " train_loss_history.append(loss.item())\n", " train_acc_history.append(train_acc)\n", " test_acc_history.append(test_acc)\n", "\n", " if epoch == 1 or epoch % 25 == 0:\n", " print(f\"Epoch {epoch:03d} | Loss {loss.item():.4f} \"\n", " f\"| Train Acc {train_acc:.4f} | Test Acc {test_acc:.4f}\")\n", "\n", "print(f\"\\nFinal Train Accuracy: {train_acc_history[-1]:.4f}\")\n", "print(f\"Final Test Accuracy: {test_acc_history[-1]:.4f}\")" ] }, { "cell_type": "markdown", "id": "8f5de189", "metadata": {}, "source": [ "## 7. Plot Training Curves" ] }, { "cell_type": "code", "execution_count": 13, "id": "0cb4d9fb", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "axes[0].plot(train_loss_history)\n", "axes[0].set_title(\"Training Loss\")\n", "axes[0].set_xlabel(\"Epoch\")\n", "axes[0].set_ylabel(\"Loss\")\n", "\n", "axes[1].plot(train_acc_history, label=\"Train Acc\")\n", "axes[1].plot(test_acc_history, label=\"Test Acc\", linestyle=\"--\")\n", "axes[1].set_title(\"Accuracy\")\n", "axes[1].set_xlabel(\"Epoch\")\n", "axes[1].set_ylabel(\"Accuracy\")\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "456fa8e6", "metadata": {}, "source": [ "## 8. Visualize Learned Embeddings\n", "We extract the hidden representation from the second GCN layer and project it to 2D with t-SNE.\n", "Train nodes are shown with filled markers; test nodes with hollow markers." ] }, { "cell_type": "code", "execution_count": 15, "id": "0305096d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.eval()\n", "with torch.no_grad():\n", " h = F.relu(model.gcn1(X, A_norm))\n", " h = F.relu(model.gcn2(h, A_norm))\n", "\n", "embeddings = h.cpu().numpy()\n", "embeddings_2d = TSNE(n_components=2, perplexity=10, random_state=SEED).fit_transform(embeddings)\n", "\n", "labels_np = labels.cpu().numpy()\n", "train_set = set(train_idx.cpu().numpy())\n", "colors = [\"#3B8BD4\", \"#D85A30\"]\n", "\n", "plt.figure(figsize=(9, 6))\n", "for node in range(num_nodes):\n", " cls = labels_np[node]\n", " color = colors[cls]\n", " marker = \"o\" if node in train_set else \"^\"\n", " plt.scatter(\n", " embeddings_2d[node, 0],\n", " embeddings_2d[node, 1],\n", " color=color,\n", " marker=marker,\n", " s=90,\n", " edgecolors=\"k\",\n", " linewidths=0.5,\n", " )\n", " plt.text(\n", " embeddings_2d[node, 0] + 0.2,\n", " embeddings_2d[node, 1] + 0.2,\n", " str(node),\n", " fontsize=8,\n", " )\n", "\n", "from matplotlib.lines import Line2D\n", "legend_elements = [\n", " Line2D([0], [0], marker='o', color='w', markerfacecolor=colors[0], markersize=9, label=\"Mr. Hi (train)\"),\n", " Line2D([0], [0], marker='^', color='w', markerfacecolor=colors[0], markersize=9, label=\"Mr. Hi (test)\"),\n", " Line2D([0], [0], marker='o', color='w', markerfacecolor=colors[1], markersize=9, label=\"Officer (train)\"),\n", " Line2D([0], [0], marker='^', color='w', markerfacecolor=colors[1], markersize=9, label=\"Officer (test)\"),\n", "]\n", "plt.legend(handles=legend_elements, loc=\"best\")\n", "plt.title(\"3-Layer GCN Embeddings (circles=train, triangles=test)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "2454b407", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Boundary node: 8\n" ] } ], "source": [ "# Find the blue point closest to the orange cluster\n", "officer_center = embeddings_2d[labels == 1].mean(axis=0)\n", "hi_nodes = np.where(labels == 0)[0]\n", "distances = np.linalg.norm(embeddings_2d[hi_nodes] - officer_center, axis=1)\n", "boundary_node = hi_nodes[distances.argmin()]\n", "print(f\"Boundary node: {boundary_node}\")" ] }, { "cell_type": "code", "execution_count": 16, "id": "5a963fea-b583-420d-9d09-f131fa6adac7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(34, 16)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "embeddings.shape" ] }, { "cell_type": "markdown", "id": "5f314a66-3e88-4957-8a79-8359b2e6f173", "metadata": {}, "source": [ "## 8. Summary\n", "\n", "This notebook:\n", "- loads the Karate Club graph\n", "- builds normalized graph adjacency\n", "- trains a 3-layer GCN\n", "- visualizes training and embeddings" ] }, { "cell_type": "code", "execution_count": null, "id": "2cd43470-fd46-4d64-9b18-3a7f3ee0e251", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 5 }